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arXiv · 2203.06845

Lower bounds for negative moments of quadratic Dirichlet $L$-functions

Peng Gao
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Abstract

We establish lower bounds for the $2k$-th moment of families of quadratic Dirichlet $L$-functions at the central point for all real $k<0$, assuming a conjecture of S. Chowla on the non-vanishing of these $L$-values.

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Peng Gao. 2022-03-14. Lower bounds for negative moments of quadratic Dirichlet $L$-functions. https://arxiv.org/abs/2203.06845

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